TSTP Solution File: SEV406^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV406^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:00:11 EDT 2024
% Result : Theorem 2.56s 1.55s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 4 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 82 ( 12 ~; 20 |; 0 &; 47 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 ^ 0 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(cA_type,type,
cA: $i > $o ).
thf(cB_type,type,
cB: $i > $o ).
thf(cP_type,type,
cP: ( $i > $o ) > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT2_pme) ).
thf(2,negated_conjecture,
~ ( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
!= ( cP
@ ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[5,4]) ).
thf(7,plain,
( ( ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
!= ( ^ [A: $i] :
( ( cB @ A )
| ( cA @ A ) ) ) ),
inference(simp,[status(thm)],[6]) ).
thf(9,plain,
( ( ( cA @ sk1 )
| ( cB @ sk1 ) )
!= ( ( cB @ sk1 )
| ( cA @ sk1 ) ) ),
inference(func_ext,[status(esa)],[7]) ).
thf(19,plain,
( ~ ( ( cA @ sk1 )
| ( cB @ sk1 ) )
| ~ ( ( cB @ sk1 )
| ( cA @ sk1 ) ) ),
inference(bool_ext,[status(thm)],[9]) ).
thf(26,plain,
( ~ ( cA @ sk1 )
| ~ ( cA @ sk1 ) ),
inference(cnf,[status(esa)],[19]) ).
thf(29,plain,
~ ( cA @ sk1 ),
inference(simp,[status(thm)],[26]) ).
thf(37,plain,
( ( $false
| ( cB @ sk1 ) )
!= ( ( cB @ sk1 )
| $false ) ),
inference(rewrite,[status(thm)],[9,29]) ).
thf(38,plain,
$false,
inference(simp,[status(thm)],[37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEV406^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.11 % Command : run_Leo-III %s %d SAT
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri Jun 21 18:26:40 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.82/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/0.95 % [INFO] Parsing done (94ms).
% 1.17/0.96 % [INFO] Running in sequential loop mode.
% 1.40/1.15 % [INFO] nitpick registered as external prover.
% 1.40/1.15 % [INFO] Scanning for conjecture ...
% 1.66/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.74/1.22 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.74/1.22 % [INFO] Problem is higher-order (TPTP THF).
% 1.74/1.22 % [INFO] Type checking passed.
% 1.74/1.22 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.47/1.54 % [INFO] Killing All external provers ...
% 2.47/1.55 % Time passed: 1026ms (effective reasoning time: 582ms)
% 2.56/1.55 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.56/1.55 % Axioms used in derivation (0):
% 2.56/1.55 % No. of inferences in proof: 13
% 2.56/1.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1026 ms resp. 582 ms w/o parsing
% 2.56/1.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.56/1.59 % [INFO] Killing All external provers ...
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